Curved Mirrors Concave Applied Physics and Chemistry Reflection

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Curved Mirrors: Concave Applied Physics and Chemistry Reflection Lecture 2

Curved Mirrors: Concave Applied Physics and Chemistry Reflection Lecture 2

Curved mirrors • What if the mirror isn’t flat? – light still follows the

Curved mirrors • What if the mirror isn’t flat? – light still follows the same rules, with local surface normal • Parabolic mirrors have exact focus – spherical mirrors may experience distortion – used in telescopes, backyard satellite dishes, etc. – also forms virtual image education. jlab. org/powerpoint/0708_optics_mirrors_and_lenses. ppt

Concave Mirrors • Curve inward • May be real or virtual image education. jlab.

Concave Mirrors • Curve inward • May be real or virtual image education. jlab. org/powerpoint/0708_optics_mirrors_and_lenses. ppt

Concave Mirror • The center C of a concave mirror is outside the mirror.

Concave Mirror • The center C of a concave mirror is outside the mirror. • Focal point F is also outside the mirror, half way between the center and the surface of the mirror. • The focal length f is half of the radius of curvature. www. physics. umd. edu/courses/Phys 106/FL 11. ppt

Image from a concave mirror: case 1 Step 3 Step 2 Step 4 www.

Image from a concave mirror: case 1 Step 3 Step 2 Step 4 www. physics. umd. edu/courses/Phys 106/FL 11. ppt

Image from a concave mirror: case 1 www. physics. umd. edu/courses/Phys 106/FL 11. ppt

Image from a concave mirror: case 1 www. physics. umd. edu/courses/Phys 106/FL 11. ppt

Properties of the Image • If we put an object outside of the center

Properties of the Image • If we put an object outside of the center of a concave mirror, we find the image is – Real, in the sense that all light rays pass through the image. – Inverted, in the sense that the direction of the arrow has been changed. – The image is smaller! www. physics. umd. edu/courses/Phys 106/FL 11. ppt

Animation for case 1 www. physics. umd. edu/courses/Phys 106/FL 11. ppt

Animation for case 1 www. physics. umd. edu/courses/Phys 106/FL 11. ppt

Image for a concave mirror: case 2 www. physics. umd. edu/courses/Phys 106/FL 11. ppt

Image for a concave mirror: case 2 www. physics. umd. edu/courses/Phys 106/FL 11. ppt

 • If the object is in between the center and the focal point,

• If the object is in between the center and the focal point, the image is – Real – Inverted – Magnified in the sense that the image is bigger than the real object. www. physics. umd. edu/courses/Phys 106/FL 11. ppt

Animation for case 2 www. physics. umd. edu/courses/Phys 106/FL 11. ppt

Animation for case 2 www. physics. umd. edu/courses/Phys 106/FL 11. ppt

Image from a concave mirror: case 3 www. physics. umd. edu/courses/Phys 106/FL 11. ppt

Image from a concave mirror: case 3 www. physics. umd. edu/courses/Phys 106/FL 11. ppt

Image from a concave mirror: case 3 www. physics. umd. edu/courses/Phys 106/FL 11. ppt

Image from a concave mirror: case 3 www. physics. umd. edu/courses/Phys 106/FL 11. ppt

Animation for case 3 www. physics. umd. edu/courses/Phys 106/FL 11. ppt

Animation for case 3 www. physics. umd. edu/courses/Phys 106/FL 11. ppt

Properties of the image • If the object is closer to the mirror than

Properties of the image • If the object is closer to the mirror than the focal point F, the image is – Virtual, it is behind the mirror – Upright, not inverted – Magnified www. physics. umd. edu/courses/Phys 106/FL 11. ppt

Java Applet • http: //www. microscopy. fsu. edu/primer/java/ mirrors/concave. html

Java Applet • http: //www. microscopy. fsu. edu/primer/java/ mirrors/concave. html